Carbon nanotubes (CNTs) [1]} - [2]} are subject of many theoretical
 [3]} - [4]}, and experimental [5]} - [6]} studies.
Their properties include a thermal conductivity higher than diamond,
greater mechanical strength than steel and better electrical conductivity than
copper [7]} - [8]}. These novel properties make them potentially useful
in a variety of applications in nanotechnology, optics, electronics, and other
fields of materials science [9]} [10]}. Rapid development of submicrometer
semiconductor devices, which may be employed in high-speed computers and
telecommunication systems, enhances the importance of hot-electron phenomena [11]}.
Hot electron phenomena have become important for the understanding of all
modern semiconductor devices [12]}- [13]}. There are several reports on hot
electrons generation in CNTs [14]}- [15]}, but the reports on hot electrons
injection in CNTs under the influence of quasi-static ac field to the best of our
knowlege are limited. Thus, in this paper, we analyzed theoretically hot electrons
injection in \((3,0)\)  zigzag\((zz)\)  CNT and \((3,3)\)  armchair (ac) CNT where in addition
to dc field, a quasi-static ac electric field is applied. Adopting semiclassical
approach , we obtained current density for each achiral CNTs after solving the
Boltzmann transport equation in the framework of momentum-independent relaxation
time . We probe the behaviour of the electric current density of the CNTs as a
function of the applied \(dc\)  field \(\mathbf {E}\)  of \(ac-dc\)  driven fields when
the frequency of ac field \((\omega )\)  is much less than the scattering frequency (\(v\) )
(\(\omega \ll v\)  or \(\omega \tau \ll 1\)  i.e quasi-static case [16]}, where
\(v =\tau ^{-1}\) ) with and without the axial injection of the hot electrons.
